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Finding the Fourth Proportional to 266.10, 398.22 and 168.54

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Solution

The fourth proportional to 266.10, 398.22 and 168.54 is: 252.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    266.10 : 398.22 = 168.54 : x
  2. Step 2: Convert to fraction form
    266.10/398.22 = 168.54/x
  3. Step 3: Cross multiply
    266.10x = 398.22 × 168.54
  4. Step 4: Simplify right side
    266.10x = 67,116.00
  5. Step 5: Solve for x
    x = 67,116.00/266.10
  6. Step 6: Final answer
    x = 252.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.